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Finding the Fourth Proportional to 756,825, 1,133,952.82 and 456,674.88

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Solution

The fourth proportional to 756,825, 1,133,952.82 and 456,674.88 is: 684,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,825 : 1,133,952.82 = 456,674.88 : x
  2. Step 2: Convert to fraction form
    756,825/1,133,952.82 = 456,674.88/x
  3. Step 3: Cross multiply
    756,825x = 1,133,952.82 × 456,674.88
  4. Step 4: Simplify right side
    756,825x = 517,847,767,999.16
  5. Step 5: Solve for x
    x = 517,847,767,999.16/756,825
  6. Step 6: Final answer
    x = 684,237.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.